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Finding the Fourth Proportional to 5,354.16, 7,984.92 and 4,579.08

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Solution

The fourth proportional to 5,354.16, 7,984.92 and 4,579.08 is: 6,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.16 : 7,984.92 = 4,579.08 : x
  2. Step 2: Convert to fraction form
    5,354.16/7,984.92 = 4,579.08/x
  3. Step 3: Cross multiply
    5,354.16x = 7,984.92 × 4,579.08
  4. Step 4: Simplify right side
    5,354.16x = 36,563,587.47
  5. Step 5: Solve for x
    x = 36,563,587.47/5,354.16
  6. Step 6: Final answer
    x = 6,829.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.